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Finding the Third Proportional to 16,194.50 and 21,527

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Solution

The third proportional to 16,194.50 and 21,527 is: 28,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,194.50 : 21,527 = 21,527 : x
  2. Step 2: Convert to fraction form
    16,194.50/21,527 = 21,527/x
  3. Step 3: Cross multiply
    16,194.50x = 21,527 × 21,527
  4. Step 4: Simplify right side
    16,194.50x = 463,411,729
  5. Step 5: Solve for x
    x = 463,411,729/16,194.50
  6. Step 6: Final answer
    x = 28,615.38

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.